Multiplicative Zagreb eccentricity indices of some composite graphs

Let G be a connected graph. The multiplicative Zagreb eccentricity indices of G are dened respectively as 1 (G) = Qv2V (G) "2 G(v) and 2 (G) = Quv2E(G) "G(u)"G(v), where "G(v) is the eccentricity of vertex v in graph G and "2 G(v) = ("G(v))2. In this paper, we present some bounds of the multiplicative Zagreb eccentricity indices of Cartesian product graphs by means of some invariants of the factors and supply some exact expressions of 1 and 2 indices of some composite graphs, such as the join, disjunction, symmetric dierence and composition of graphs, respectively.